10368957640320 has 320 divisors, whose sum is σ = 37037626164000. Its totient is φ = 2764442621952.

The previous prime is 10368957640289. The next prime is 10368957640339. The reversal of 10368957640320 is 2304675986301.

10368957640320 is a `hidden beast` number, since 1 + 0 + 3 + 6 + 8 + 9 + 576 + 40 + 3 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 264312547 + ... + 264351773.

It is a 2-persistent number, because it is pandigital, and so is 2⋅10368957640320 = 20737915280640, but 3⋅10368957640320 = 31106872920960 is not.

Almost surely, 2^{10368957640320} is an apocalyptic number.

10368957640320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10368957640320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18518813082000).

10368957640320 is an abundant number, since it is smaller than the sum of its proper divisors (26668668523680).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10368957640320 is an equidigital number, since it uses as much as digits as its factorization.

10368957640320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44357 (or 44336 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 10368957640320 in words is "ten trillion, three hundred sixty-eight billion, nine hundred fifty-seven million, six hundred forty thousand, three hundred twenty".